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pantera1 [17]
3 years ago
10

Colin knows 10 Vocabulary terms. Everyday he wants to learn three new Words. explain the y-intercept in context to the scenario

Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Before he started he knew 10 vocabulary items. Hence, the y-intercept is (0, 10), 0 being the 0th day.

He learns 3 new words every day, so the slope is 3.

The equation is y = 3x + 10.

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Read 2 more answers
Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

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1 year ago
A bakery had buns. Of the buns that bakery had, 1/6 were sold in the morning and 1/2 were sold in the evening.
Kazeer [188]
4/6 or 2/3 were sold total
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3 years ago
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